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Finding the Fourth Proportional to 77.71, 107.22 and 66.10

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Solution

The fourth proportional to 77.71, 107.22 and 66.10 is: 91.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.71 : 107.22 = 66.10 : x
  2. Step 2: Convert to fraction form
    77.71/107.22 = 66.10/x
  3. Step 3: Cross multiply
    77.71x = 107.22 × 66.10
  4. Step 4: Simplify right side
    77.71x = 7,086.71
  5. Step 5: Solve for x
    x = 7,086.71/77.71
  6. Step 6: Final answer
    x = 91.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.